Answer: (x^2)/16 + (y^2)/25 = 1
Step-by-step explanation:
According to the problem we can figure out that the center of the ellipse is (0,0).
Since the foci is (0,3) and (0,-3) we know that the value of c is 3. The major vertices are (0,5) and (0,-5) so the value of a is 5.
If we put this into the equation a^2=b^2 + c^2, we get 25=9+ b^2
We get b^2 is 16
Now since we know that the ellipse is vertical because the x value didn’t change, we know that the b^2 value comes first in the equation. Then the a^2 value which is 25.
Answer: 3x+2/3
Step-by-step explanation: Given that f(x)=x-1/3 and g(x)=3x+1
(fog)(x) is the composition of the functions f and g.
(fog)(x)=f(g(x))
=f(3x+1) (In the function f(x) where there is x we substitute the x by
3x+1) so that
(fog)(x) =3x+1-1/3
=3x+2/3
<span>The three consecutive even integers are 92, 94, and 96.
~Jurgen</span>
Answer:
All numbers greater than 5, i.e., 
.
Step-by-step explanation:
The given inequality is
Isolate variable terms on one side to find the solution.
Subtract 50x from both sides.
Divide both sides by 30.
It means, all the numbers which are greater than 5, are the solutions of the given inequality and 5 is not included in the solution set.
Let x = total sales of baked goods remember 20% = .20 as a decimal
so the equation would be .20x = $600
divide both sides by .20
.20x/.20 = $600/.20
x = $3000 the total sales of baked goods
CHECK: 20% times $3000 = .20 times $3000 = $600
